82142628 has 12 divisors (see below), whose sum is σ = 191666160. Its totient is φ = 27380872.

The previous prime is 82142581. The next prime is 82142629. The reversal of 82142628 is 82624128.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×82142628² = 13494822669492768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82142629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3422598 + ... + 3422621.

It is an arithmetic number, because the mean of its divisors is an integer number (15972180).

Almost surely, 2^82142628 is an apocalyptic number.

It is an amenable number.

82142628 is an abundant number, since it is smaller than the sum of its proper divisors (109523532).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82142628 is a wasteful number, since it uses less digits than its factorization.

82142628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6845226 (or 6845224 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 82142628 is about 9063.2570304499. The cubic root of 82142628 is about 434.6998907676.

The spelling of 82142628 in words is "eighty-two million, one hundred forty-two thousand, six hundred twenty-eight".